Canonical D = 1 supergravity framework for FLRW cosmology

Journal Article · Fri May 01 04:00:00 EDT 2015 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2015/05/039· OSTI ID:22525822

Bogers, M. P.; Holten, J.W. van, ^[1]

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1. Inst. Lorentz, Leiden University, Niels Bohrweg 2, Leiden (Netherlands)

We construct an extension of standard flat FLRW cosmology with matter, possessing local D = 1, N=1 proper-time supersymmetry. The fundamental equation for the resulting mini-superspace models of quantum universes is a Dirac-like analogue of the Friedmann and Wheeler-DeWitt equations. We provide solutions of this equation for specific matter configurations based on the supersymmetric O(3) and O(2,1) σ-models. It turns out that in the compact model the volume rate of growth of the universe is quantized and non-vanishing due to the zero-point energy of the scalar fields. In the non-compact model the spectrum of the growth rates is continuous but subject to an uncertainty relation involving the scale and the growth factor.

• OSTI ID: 22525822
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 05 Vol. 2015; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
COSMOLOGY
FIELD EQUATIONS
MATHEMATICAL SOLUTIONS
O GROUPS
SCALAR FIELDS
SIGMA MODEL
SUPERGRAVITY
SUPERSYMMETRY
UNIVERSE